Mathematics: analysis and approaches
Higher level
Paper 1
Thursday 6 May 2021 (afternoon)
Candidate session number
2 hours
Instructions to candidates
y Write your session number in the boxes above.
y Do not open this examination paper until instructed to do so.
y You are not permitted access to any calculator for this paper.
y Section A: answer all questions. Answers must be written within the answer boxes provided.
y Section B: answer all questions in the answer booklet provided. Fill in your session number
on the front of the answer booklet, and attach it to this examination paper and your
cover sheet using the tag provided.
y Unless otherwise stated in the question, all numerical answers should be given exactly or
correct to three significant figures.
y A clean copy of the mathematics: analysis and approaches formula booklet is required for
this paper.
y The maximum mark for this examination paper is [110 marks].
2221 – 7106
12 pages © International Baccalaureate Organization 2021
12EP01
, –2– 2221 – 7106
Full marks are not necessarily awarded for a correct answer with no working. Answers must be
supported by working and/or explanations. Where an answer is incorrect, some marks may be given
for a correct method, provided this is shown by written working. You are therefore advised to show all
working.
Section A
Answer all questions. Answers must be written within the answer boxes provided. Working may be
continued below the lines, if necessary.
1. [Maximum mark: 5]
The graph of y = f (x) for -4 ≤ x ≤ 6 is shown in the following diagram.
y
8
6
4
2
x
-4 -2 0 2 4 6
-2
-4
-6
(a) Write down the value of
(i) f (2) ;
(ii) ( f f )(2) . [2]
1
(b) Let g ( x) = f ( x) + 1 for -4 ≤ x ≤ 6 . On the axes above, sketch the graph of g . [3]
2
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12EP02
Higher level
Paper 1
Thursday 6 May 2021 (afternoon)
Candidate session number
2 hours
Instructions to candidates
y Write your session number in the boxes above.
y Do not open this examination paper until instructed to do so.
y You are not permitted access to any calculator for this paper.
y Section A: answer all questions. Answers must be written within the answer boxes provided.
y Section B: answer all questions in the answer booklet provided. Fill in your session number
on the front of the answer booklet, and attach it to this examination paper and your
cover sheet using the tag provided.
y Unless otherwise stated in the question, all numerical answers should be given exactly or
correct to three significant figures.
y A clean copy of the mathematics: analysis and approaches formula booklet is required for
this paper.
y The maximum mark for this examination paper is [110 marks].
2221 – 7106
12 pages © International Baccalaureate Organization 2021
12EP01
, –2– 2221 – 7106
Full marks are not necessarily awarded for a correct answer with no working. Answers must be
supported by working and/or explanations. Where an answer is incorrect, some marks may be given
for a correct method, provided this is shown by written working. You are therefore advised to show all
working.
Section A
Answer all questions. Answers must be written within the answer boxes provided. Working may be
continued below the lines, if necessary.
1. [Maximum mark: 5]
The graph of y = f (x) for -4 ≤ x ≤ 6 is shown in the following diagram.
y
8
6
4
2
x
-4 -2 0 2 4 6
-2
-4
-6
(a) Write down the value of
(i) f (2) ;
(ii) ( f f )(2) . [2]
1
(b) Let g ( x) = f ( x) + 1 for -4 ≤ x ≤ 6 . On the axes above, sketch the graph of g . [3]
2
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12EP02
